1. Parcheesi. You are three spaces from a win in Parcheesi. On each turn, you will roll two dice. To win, you must roll a total of 3 or roll a 3 on one of the dice. How many turns might you expect this to take?
2. The hot hand. A basketball player with a 65% shooting percentage has just made 6 shots in a row. The announcer says this player is hot tonight! She's in the zone! Assume the player takes about 20 shots per game. Is it unusual for her to make 6 or more shots in a row during a game?